A balloon is initially full of air, but then it springs a leak. It leaks at a constant rate of 6 cubic inches per minute.  After a while the leak is patched, a pump is attached, and the balloon is re-inflated to its original volume.  The pumping rate is constant at 7 cubic inches per minute.  Let B denote the volume, in cubic inches, of air in the balloon after t minutes.

?
A: Explain in practical terms the meaning of .
B: During the time the balloon is leaking air, what is the value of  ?
C: During the time air is being pumped into the balloon, what is the value of ?

What will be an ideal response?


?

A:  is the change in volume we expect over one minute.

?

B:  cubic inches per minute.

C:  cubic inches per minute.


Mathematics

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